The probability that Ato , Sulley and Kofi will gain admission
to a certain university are 4/5,3/4 and 2/3 respectively.
P(A) = 4/5, P(not A) = 1 - 4/5 = 1/5
P(S) = 3/4, P(not S) = 1 - 3/4 = 1/4
P(K) = 2/3, P(not K) = 1 - 2/3 = 1/3
Find the probability that :
(a) none of them will gain admission
P(not A)×P(not S)×P(not K) = (1/5)(1/4)(1/3) = 1/60
(b) at most two of them will gain admission
P(not all three) = 1 - P(all three) = 1 - P(A)×P(S)×P(K) =
1 - (4/5)(3/4)(2/3) = 1 - 2/5 = 3/5
(c) only Kofi and Ato will gain admission.
P(K)×P(A)×P(not S) = (2/3)(4/5)(1/4) = 2/15
Edwin